GCD of 637, 228, 17, 743 Calculator

Given Input numbers are 637, 228, 17, 743

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 637

List of positive integer divisors of 637 that divides 637 without a remainder.

1, 7, 13, 49, 91, 637

Divisors of 228

List of positive integer divisors of 228 that divides 228 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

Divisors of 17

List of positive integer divisors of 17 that divides 17 without a remainder.

1, 17

Divisors of 743

List of positive integer divisors of 743 that divides 743 without a remainder.

1, 743

Greatest Common Divisior

We found the divisors of 637, 228, 17, 743 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 637, 228, 17, 743 is 1.

Therefore, GCD of numbers 637, 228, 17, 743 is 1

Given Input Data is 637, 228, 17, 743

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 637 is 7 x 7 x 13

Prime Factorization of 228 is 2 x 2 x 3 x 19

Prime Factorization of 17 is 17

Prime Factorization of 743 is 743

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(637, 228) = 145236

GCD(637, 228) = ( 637 x 228 ) / 145236

GCD(637, 228) = 145236 / 145236

GCD(637, 228) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 17

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 17) = 17

GCD(1, 17) = ( 1 x 17 ) / 17

GCD(1, 17) = 17 / 17

GCD(1, 17) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 743

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 743) = 743

GCD(1, 743) = ( 1 x 743 ) / 743

GCD(1, 743) = 743 / 743

GCD(1, 743) = 1

GCD of 637, 228, 17, 743 is 1

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1. What is the GCD of 637, 228, 17, 743?

GCD of 637, 228, 17, 743 is 1

2. Where do I get the detailed procedure to find GCD of 637, 228, 17, 743?

You can find a detailed procedure to find GCD of 637, 228, 17, 743 on our page.

3. How to find GCD of 637, 228, 17, 743 on a calculator?

You can find the GCD of 637, 228, 17, 743 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.